%0 Journal Article
%T Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions
%A Ram K. Saxena
%A Tibor Pogany
%J Journal of Interpolation and Approximation in Scientific Computing
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jiasc-00006
%X The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension. Here Laplace integral forms and multiple Mellin-Barnes type integral representation are derived for these special functions. As a special cases of our investigations we deduce the integral expressions for the Matsumoto's multiple Mordell-Tornheim Zeta function, that is, for Tornheim's double sum i.e. Mordell-Witten Zeta, for the multiple Hurwitz Zeta and for the multiple Hurwitz-Euler Eta function, recently studied by Choi and Srivastava .
%K Multiple Hurwitz-Lerch Zeta function
%K Hilbert-type infinite multilinear form
%K Multiple Hurwitz-Lerch Zeta power series
%K Tornheim's double sum
%K Mordell-Witten Zeta function
%K Matsumoto's multiple Mordell-Tornheim Zeta function
%K Dirichlet-series
%K Cahen's Laplace integral formula
%K Mellin-Barnes type integral
%U http://www.ispacs.com/journals/jiasc/2012/jiasc-00006/article.pdf